A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Is the square root of 4 plus the square root of 16 rational?

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?